Ip. Pavlotsky et G. Vilasi, SOME PECULIAR PROPERTIES OF THE RELATIVISTIC OSCILLATOR IN THE POST-GALILEAN APPROXIMATION, Physica. A, 214(1), 1995, pp. 68-81
In the post-Galilean approximation, the Lagrangians are singular on a
submanifold of the phase space, A general analysis of these peculiarit
ies, which differ by the ones considered by Dirac, is, up to day, lack
ing. The analysis of the dynamics of the one-dimensional and two-dimen
sional relativistic oscillators of the second tenser rank, is reported
. A comparison with the cases of scalar and vector relativistic oscill
ators, described by a regular Lagrangian, is accomplished, Some equili
brium statistical properties of the relativistic oscillators are also
analysed.